Home
Class 12
MATHS
If the angles of a triangle ABC are in A...

If the angles of a triangle `ABC` are in `A.P.`, then

A

`c^(2)=a^(2)+b^(2)-ab`

B

`b^(2)=a^(2)+c^(2)-ac`

C

`a^(2)=b^(2)+c^(2)-ac`

D

`b^(2)=a^(2)+c^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

Statement- 1: If the sines of the angles of a triangle are in A.P., then the altitudes ef the triangle are also in A.P. Statement-2: Twice the area of a triangle is equal to the product of the lengths of a side and the altitude on it.

If the angles of a triangle ABC are in AP, a =2, c = 4then b is

If the angles of a triangle ABC are in AP and b:c=sqrt3:sqrt2 the what is the measure of angle A?

The angles of a triangle ABC are in A.P .and it is being given that b:c=sqrt(3):sqrt(2), find /_A.

If the angle A, B and C of a triangle ABC are in A.P and a:b=1: sqrt(3) If c=4 cm then the area (in sq. cm) of this triangle is :

If the cotangents of half the angles of a triangle are in A.P.then prove that the sides are in A.P.

If the angles if a triangle are in A.P and tangent of the smallest angle is 1 then find all the angles of the triangle .

If the angles A lt B lt C of a triangle are in A.P, then

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. If the sides of a triangle are 6 cm, 10 cm and 14 cm, then what is the...

    Text Solution

    |

  2. If the angles A, B, and C of a triangle ABC are in AP and the sides a,...

    Text Solution

    |

  3. If the angles of a triangle ABC are in A.P., then

    Text Solution

    |

  4. In DeltaABC,(cosA)/(a)+(cosB)/(b)+(cosC)/(c)=

    Text Solution

    |

  5. The ratio of the sides of a triangle ABC is 1: sqrt3: 2. The ratio A: ...

    Text Solution

    |

  6. In DeltaABC,(a-b)^(2)cos^(2).(C)/(2)+(a+b)^(2)sin^(2).(C)/(2)=

    Text Solution

    |

  7. If in triangle ABC, cosA=(sinB)/(2sinC), then the triangle is

    Text Solution

    |

  8. The sides of a triangle are sin alpha, cos alpha and sqrt(1+ sin alpha...

    Text Solution

    |

  9. In DeltaABC,1-tan.(A)/(2)tan.(B)/(2)=

    Text Solution

    |

  10. In DeltaABC,"if "2s=a+b+c, then the value of (s(s-a))/(bc)-((s-b)(s-c)...

    Text Solution

    |

  11. If in a triangle A B C ,acos^2(C/2)ccos^2(A/2)=(3b)/2, then the sides ...

    Text Solution

    |

  12. If in a triangle ABC, (s-a)(s-b)= s(s-c), then angle C is equal to

    Text Solution

    |

  13. In any DeltaABC,("tan"(A)/(2)-"tan"(B)/(2))/("tan"(A)/(2)+"tan"(B)/(2)...

    Text Solution

    |

  14. In !ABC , if sin^(2)A/2,sin^(2)B/2,sin^(2)C/2 be in H.P., then a , b ,...

    Text Solution

    |

  15. If in a triangleABC , a = 6, b=3 and cos(A-B)=4/5 then find its area...

    Text Solution

    |

  16. if the sides of a triangle are in the ratio 2:sqrt6 : sqrt3 + 1, then ...

    Text Solution

    |

  17. In triangle ABC, a=5, b=4 and cos(A+B)=(31)/(32) In this triangle,c=

    Text Solution

    |

  18. If sin^(-1) x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then

    Text Solution

    |

  19. The value of cot(c o s e c^(- 1)5/3+tan^(- 1)(2/3))i s

    Text Solution

    |

  20. sin^(2)(2tan^(-1)sqrt((1+x)/(1-x)))="","where "-1lexlt1

    Text Solution

    |